0.5y^(2)+10y

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients: 5y^(2)+10y

The foci of the ellipse 9x^(2)+ 5(y^(2)-10y +25)=45 are

5y^(2)-10y-4x+1=0 is a conic.Find the length of latus rectum of conic and the least distance between the conic and its director circle.

(i) x^(2) + 6x + 5 = 0 (ii) y^(2) -10y+21 = 0

The acute angle between the line represented by x^(2)-6xy+5y^(2)+10x-4y+9=0 is

Show that the equation x^(2)-6xy+5y^(2)+10x-14y+9=0 represents a pair of lines. Find the acute angle between them. Also find the point of intersection of the lines.

If 'O' is the origin,P is the intersection of the lines 2x^(2)-7xy+3y^(2)+5x+10y-25=0,A and B are the points in which these lines are cut by the line x+2y-5=0 ,then the points O,A,P,B (in some order) are the vertices of